You do not say which version of the Blackberry you are using, but this may apply to you, as far as the logging of phone calls is concerned. Go to your phone screen (press the green button once if you are unsure how to get into the phone screen), then press in on the thumbwheel. Click to options, then Call Logging. There you will be able to specify what, if anything you want logged in your call log.
As far as the calls going right to voicemail, as someone else suggested, I would look under your active profile, then Phone, and see if do not disturb is currently on. If it is, all calls will go right to voicemail.